Form equivalence class Howard-Rubin Number: 43

Statement: Ekeland's Variational Principle: If \((E,d)\) isa non-empty complete metric space, \(f: E\to\Bbb R\) is lowersemi-continuous and bounded from below, and \(\epsilon\) is a positivereal number, then there exists \(a\in E\) such that for all \(x\in E\),\(f(a)\le f(x)+\epsilon d(x,a)\).  Dodu/Morillon [1999] andNote 28.

Howard-Rubin number: 43 AH

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